{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Impute missing data using linear and spline interpolation\n",
    "\n",
    "[Feature Engineering for Time Series Forecasting](https://www.trainindata.com/p/feature-engineering-for-forecasting)\n",
    "\n",
    "This notebook shows how we can use the linear and spline interpolation methods to fill missing data for a time series.\n",
    "\n",
    "We will work with a monthly retail sales dataset (found [here](https://raw.githubusercontent.com/facebook/prophet/master/examples/example_retail_sales.csv)).\n",
    "\n",
    "For instructions on how to download, prepare, and store the dataset, refer to notebook number 1, in the folder \"01-Create-Datasets\" from this repo.\n",
    "\n",
    "## Data Set Synopsis\n",
    "\n",
    "The timeseries is between January 1992 and Apr 2005.\n",
    "\n",
    "It consists of a single series of monthly values representing sales volumes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set_context(\"talk\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\n",
    "    \"../Datasets/example_retail_sales_with_missing_data.csv\",\n",
    "    parse_dates=[\"ds\"],\n",
    "    index_col=[\"ds\"],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>146376.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>147079.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>159336.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>163669.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>170068.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   y\n",
       "ds                  \n",
       "1992-01-01  146376.0\n",
       "1992-02-01  147079.0\n",
       "1992-03-01  159336.0\n",
       "1992-04-01  163669.0\n",
       "1992-05-01  170068.0"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Check for missing data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We check for missing data in the target and quantify how many missing values there are."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of datapoints missing: 33\n",
      "Proportion of dataset missing: 20.62%\n"
     ]
    }
   ],
   "source": [
    "n_missing = df[\"y\"].isnull().sum()\n",
    "\n",
    "print(f\"Number of datapoints missing: {n_missing}\")\n",
    "print(f\"Proportion of dataset missing: {n_missing/len(df):.2%}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We plot the time series to see where the data is missing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = df.plot(marker=\".\", figsize=[10, 5], legend=None)\n",
    "ax.set_title(\"Retail Sales with missing data\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linear interpolation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply the linear interpolation method\n",
    "# Note: If the time intervals between rows are not uniform then\n",
    "# the method should be set as 'time' to achieve a linear fit.\n",
    "df_imputed = df.interpolate(method=\"linear\")\n",
    "\n",
    "# Plot the imputed time series\n",
    "ax = df_imputed.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5], legend=None)\n",
    "df_imputed[df.isnull()].plot(ax=ax, legend=None, marker=\".\", color=\"r\")\n",
    "\n",
    "ax.set_title(\"Retail Sales with imputed data\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply the linear interpolation method\n",
    "# Note: If the time intervals between rows are not uniform then\n",
    "# the method should be set as 'time' to achieve a linear fit.\n",
    "df_imputed = df.interpolate(method=\"time\")\n",
    "\n",
    "# Plot the imputed time series\n",
    "ax = df_imputed.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5], legend=None)\n",
    "df_imputed[df.isnull()].plot(ax=ax, legend=None, marker=\".\", color=\"r\")\n",
    "\n",
    "ax.set_title(\"Retail Sales with imputed data\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see here that linear interpolation is reasonable for small gaps but also captures the trend for larger gaps, however, the seasonality is lost."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Spline interpolation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Typically the order parameter is relatively low when using splines, 3 is common. This is because higher order splines will begin fitting more complex or larger magnitude curves between missing values."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note: Splines are generally preferred to polynomial interpolation. This is because splines are less sensitive than a polynomial fit to small changes to the data points that they are fitting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply the spline interpolation method\n",
    "df_imputed = df.interpolate(method=\"spline\", order=3)\n",
    "\n",
    "# Plot the imputed time series\n",
    "ax = df_imputed.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5])\n",
    "df_imputed[df.isnull()].plot(ax=ax, legend=None, marker=\".\", color=\"r\")\n",
    "\n",
    "ax.set_title(\"Retail Sales with imputed data\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that cubic splines are not appropriate when there are large gaps in the data."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
